76977536 has 32 divisors (see below), whose sum is σ = 155968200. Its totient is φ = 37832704.

The previous prime is 76977503. The next prime is 76977539. The reversal of 76977536 is 63577967.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76977539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2456 + ... + 12648.

Almost surely, 2^76977536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77984100).

76977536 is an abundant number, since it is smaller than the sum of its proper divisors (78990664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76977536 is a wasteful number, since it uses less digits than its factorization.

76977536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266 (or 10254 counting only the distinct ones).

The product of its digits is 1666980, while the sum is 50.

The square root of 76977536 is about 8773.6842888264. The cubic root of 76977536 is about 425.3907105984.

The spelling of 76977536 in words is "seventy-six million, nine hundred seventy-seven thousand, five hundred thirty-six".